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Finding the Fourth Proportional to 10,250.34, 15,375.50 and 2,854.99

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Solution

The fourth proportional to 10,250.34, 15,375.50 and 2,854.99 is: 4,282.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,250.34 : 15,375.50 = 2,854.99 : x
  2. Step 2: Convert to fraction form
    10,250.34/15,375.50 = 2,854.99/x
  3. Step 3: Cross multiply
    10,250.34x = 15,375.50 × 2,854.99
  4. Step 4: Simplify right side
    10,250.34x = 43,896,843.97
  5. Step 5: Solve for x
    x = 43,896,843.97/10,250.34
  6. Step 6: Final answer
    x = 4,282.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.